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10540037 is a prime number
BaseRepresentation
bin101000001101…
…010000000101
3201211111012202
4220031100011
510144240122
61013524245
7155405654
oct50152005
921744182
1010540037
115a49982
123643685
132250611
14158519b
15dd2e92
hexa0d405

10540037 has 2 divisors, whose sum is σ = 10540038. Its totient is φ = 10540036.

The previous prime is 10540027. The next prime is 10540039. The reversal of 10540037 is 73004501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7392961 + 3147076 = 2719^2 + 1774^2 .

It is a cyclic number.

It is not a de Polignac number, because 10540037 - 210 = 10539013 is a prime.

It is a super-2 number, since 2×105400372 = 222184759922738, which contains 22 as substring.

Together with 10540039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10540039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270018 + 5270019.

It is an arithmetic number, because the mean of its divisors is an integer number (5270019).

Almost surely, 210540037 is an apocalyptic number.

It is an amenable number.

10540037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540037 is an equidigital number, since it uses as much as digits as its factorization.

10540037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 10540037 is about 3246.5423145248. The cubic root of 10540037 is about 219.2539259074.

Adding to 10540037 its reverse (73004501), we get a palindrome (83544538).

The spelling of 10540037 in words is "ten million, five hundred forty thousand, thirty-seven".